Shimura data and corners: topology
arXiv:2206.15361
Abstract
The purpose of this article is to give a new construction of the map relating the Borel-Serre and the Baily-Borel compactifications of a Shimura variety (Zucker 1983), and to provide a close analysis of its main properties.
104 pages; the main change since the last version concerns new unicity results about spaces of type S- (Prop. 1.25, Cor. 1.28),